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Title: On the two-loop virtual QCD corrections to Higgs boson pair production in the standard model

Here, we compute the next-to-leading order virtual QCD corrections to Higgs-pair production via gluon fusion. We also present analytic results for the two-loop contributions to the spin-0 and spin-2 form factors in the amplitude. The reducible contributions, given by the double-triangle diagrams, are evaluated exactly while the two-loop irreducible diagrams are evaluated by an asymptotic expansion in heavy top-quark mass up to and including terms of O(1/m$$8\atop{t}$$). We estimate that mass effects can reduce the hadronic cross section by at most 10 %, assuming that the finite top-quark mass effects are of similar size in the entire range of partonic energies.
 [1] ;  [2] ;  [3]
  1. Roma Tre Univ., Rome (Italy). Dept. of Mathematics and Physics; National Inst. of Nuclear Physics (INFN), Rome (Italy)
  2. Roma Tre Univ., Rome (Italy). Dept. of Mathematics and Physics; Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Dept.
  3. National Inst. of Nuclear Physics (INFN), Rome (Italy)
Publication Date:
Report Number(s):
BNL-112677-2016-JA; BNL-114703-2017-JA
Journal ID: ISSN 1434-6044; KA2401012
Grant/Contract Number:
SC00112704; SC0012704
Accepted Manuscript
Journal Name:
European Physical Journal. C, Particles and Fields
Additional Journal Information:
Journal Volume: 76; Journal Issue: 7; Journal ID: ISSN 1434-6044
Research Org:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QCD; dark matter; Higgs; gluon; fusion; quark; spin; hadronic
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1412744